Which one of the following graphs represents the variation of maximum kinetic energy \((E_k)\) of the emitted electrons with frequency \(\nu\) in photoelectric effect correctly?
1. | 2. | ||
3. | 4. |
A vessel of height \(2~d\) is half filled with a liquid of refractive index \(\sqrt2\) and the other half with a liquid of refractive index \(n\) (the given liquids are immiscible). Then, the apparent depth of the inner surface of the bottom of the vessel (neglecting the thickness of the bottom of the vessel) will be:
1. \(\frac{n}{d(n+\sqrt{2})}\)
2. \(\frac{d(n+\sqrt{2})}{n \sqrt{2}}\)
3. \(\frac{\sqrt{2} n}{d(n+\sqrt{2})}\)
4. \(\frac{n d}{d+\sqrt{2} n}\)
An electric bulb has a rated power of \(50\) W at \(100\) V. If it is used on an AC source \(200\) V, \(50\) Hz, a choke has to be used in series with it. This choke should have an inductance of:
1. \(0.1\) mH
2. \(1\) mH
3. \(0.1\) H
4. \(1.1\) H
In Young's double slit experiment with sodium vapour lamp of wavelength \(589\) nm and the slits \(0.589\) mm apart, the half angular width of the central maximum is:
1. \(sin^{-1} (0.01)\)
2. \(sin^{-1} (0.0001)\)
3. \(sin^{-1} (0.001)\)
4. \(sin^{-1} (0.1)\)
A parallel plate capacitor with air as the dielectric has capacitance \(C.\) A slab of dielectric constant \(K\) having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be:
1. \((K+3)\frac C4\)
2. \((K+2)\frac C4\)
3. \((K+1)\frac C4\)
4. \(\frac{KC}{4}\)
Three concurrent co-planar forces \(1\) N, \(2\) N and \(3\) N acting along different directions on a body.
Choose the correct statement:
1. | can keep the body in equilibrium if \(2\) N and \(3\) N act at right angle. |
2. | can keep the body in equilibrium if \(1\) N and \(2\) N act at right angle. |
3. | cannot keep the body in equilibrium. |
4. | can keep the body in equilibrium in \(1\) N and \(3\) N acts at an acute angle. |
The work done by force acting on a body is as shown in the graph. The total work done in covering an initial distance of \(20\) m is:
1. \(212.5\) J
2. \(200\) J
3. \(400\) J
4. \(175\) J
Horizontal tube of non-uniform cross-section has radii of \(0.1\) m and \(0.05\) m respectively at M and N. For a streamlined flow of the liquid, the rate of liquid flow is:
1. | changing continuously with time |
2. | greater at M than at N |
3. | greater at N than at M |
4. | same at M and N |
A coil of \(n\) number of turns is wound tightly in the form of a spiral with inner and outer radii \(a\) and \(b\) respectively. When a current of strength \(I\) am passed through the coil, the magnetic field at its centre is:
1. \(\frac{\mu_{_0}nI}{(b-a)}\log_e\frac ab\)
2. \(\frac{\mu_{_0}nI}{2(b-a)}\)
3. \(\frac{\mu_{_0}nI}{b}\)
4. \(\frac{\mu_{_0}nI}{2(b-a)}\log_e\frac ba\)
A police party is moving in a jeep at a constant speed \(v.\) They saw a thief at a distance \(x\) on a motorcycle which is at rest. The moment the police saw the thief, the thief started at constant acceleration which of the following relations is true if the police is able to catch the thief?
1. \(v^2<ax\)
2. \(v^2<2ax\)
3. \(v^2\geq 2ax\)
4. \(v^2=ax\)
1. | air flows from the bigger bubble to the smaller bubble till sizes become equal. |
2. | air flows from the bigger bubble to the smaller bubble till sizes are interchanged. |
3. | air flows from smaller bubbles to bigger ones. |
4. | there is no flow of air. |
The thermo emf of a hypothetical thermocouple varies with the temperature \(\theta\) of the hot junction as \(E=a\theta+b\theta^2\) in volts, where the ratio is \(\frac ab\) is \(700~^\circ \mathrm{C}.\) If the cold junction is kept at \(0~^\circ \mathrm{C},\) then the neutral temperature is:
1. | \(700~^\circ \mathrm{C}\) |
2. | \(1400~^\circ \mathrm{C}\) |
3. | \(-350~^\circ \mathrm{C}\) |
4. | No neutral temperature is possible for this thermocouple. |
A launching vehicle carrying an artificial satellite of mass \(m\) is set for launch on the surface of the earth of mass \(M\) and radius \(R.\) If the satellite is intended to move in a circular orbit of radius \(7R,\) the minimum energy required to be spent by the launching vehicle on the satellite is:
(Gravitational constant= \(G\))
1. \(\frac{GMm}{R}\)
2. \(-\frac{13GMm}{14R}\)
3. \(\frac{GMm}{7R}\)
4. \(-\frac{GMm}{14R}\)
The two lenses of an achromatic doublet should have:
1. | equal powers |
2. | equal dispersive powers |
3. | equal ratio of their power and dispersive power |
4. | sum of the product of their powers and dispersive power equal to zero |
If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are \(a,\) \(b\) and \(c\) respectively, the ratio between the increase in lengths of brass and steel wires would be:
1. \( \frac{{b}^{2}a}{2c}\)
2. \( \frac{bc}{2{a}^{3}}\)
3. \( \frac{{ba}^{2}}{2c}\)
4. \( \frac{a}{2{b}^{2}c}\)
A soap bubble of radius \(r\) is blown up to form a bubble of radius \(2r\) under isothermal conditions. If \(T\) is the surface tension of the soap solution, the energy spent in the blowing is:
1. \(3\pi Tr^2\)
2. \(6\pi Tr^2\)
3. \(12\pi Tr^2\)
4. \(24\pi Tr^2\)
A current of \(1.6\) A is passed through a solution of CuSO4. How many Cu++ ions are liberated in one minute? (Electronic charge= \(1.6\times10^{-19}\) C)
1. 3 × 1020
2. 3 × 1010
3. 6 × 1020
4. 6 × 1010
1. | a magnet |
2. | an unmagnetised iron bar |
3. | a moving charge |
4. | stationary charge |
In an \(LCR\) circuit inductance is changed from \(L\) to \(L/2.\) To keep the same resonance frequency, \(C\) should be changed to:
1. \(2C\)
2. \(\frac C2\)
3. \(4C\)
4. \(\frac C4\)
1. | they travel with the speed of sound. |
2. | the frequency is not constant. |
3. | they can, heavily absorbed by the atmosphere. |
4. | the height of antenna has to be increased several times. |
A | B | Y |
0 | 0 | 1 |
0 | 1 | 1 |
1 | 0 | 1 |
1 | 1 | 0 |
1. \(0.01\) m
2. \(0.02\) m
3. \(0.05\) m
4. \(0.03\) m
\(y=3\sin\pi\Big(\frac t2-\frac x4\Big),\) represents an equation of a progressive wave, where \(t\) is in second and \(x\) is in meter. The distance travelled by the wave in \(5\) seconds is:
1. \(8\) m
2. \(10\) m
3. \(5\) m
4. \(32\) m
A body of mass \(m_1=4~\mathrm{kg}\) moves at \(5i~\mathrm{m/s}\) and another body of mass \(m_2=2~\mathrm{kg}\) moves at \(10i~\mathrm{m/s}\). The kinetic energy of the centre of mass is:
1. \(\frac{200}{3}~\text J\)
2. \(\frac{500}{3}~\text J\)
3. \(\frac{400}{3}~\text J\)
4. \(\frac{800}{3}~\text J\)
A wheel of radius \(0.4~\mathrm{m}\) can rotate freely about its axis as shown in the figure. A string is wrapped over its rim, and a mass of \(4~\mathrm{kg}\) is hung. An angular acceleration of \(8~\mathrm{rad/s^2}\) is produced in it due to the torque. Then, moment of inertia of the wheel is: (Take \(g=10\) ms-2)
1. \(2~\mathrm{kg-m^2}\)
2. \(1~\mathrm{kg-m^2}\)
3. \(4~\mathrm{kg-m^2}\)
4. \(8~\mathrm{kg-m^2}\)
1. | both will reach with same speed |
2. | both will reach with same acceleration |
3. | both will reach in the same time |
4. | none of the above |
A coin is dropped in a lift. It takes time \(t_1\) to reach the floor when the lift is stationary. It takes time \(t_2\) when the lift is moving up with constant acceleration. Then, what is the relationship between \(t_1\) and \(t_2 ?\)
1. \(t_1>t_2\)
2. \(t_2>t_1\)
3. \(t_1=t_2\)
4. \(t_1>>t_2\)
The engine of a jet aircraft applies a thrown force of \(10^5\) N during takeoff and causes the plane to attain a velocity of \(1\) km/s in \(10\) s. The mass of the plane is:
1. \(10^2\) kg
2. \(10^3\) kg
3. \(10^4\) kg
4. \(10^5\) kg
A hollow sphere of volume \(V\) is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks into the water?
1. \(\frac V2\)
2. \(\frac V3\)
3. \(\frac V4\)
4. \(V\)
Which one of the following sets of quantum numbers represents the highest energy level in an atom?
1. \(n=4,l=0,m=0,s=+\frac12\)
2. \(n=3,l=1,m=1,s=+\frac12\)
3. \(n=3,l=2,m=-2,s=+\frac12\)
4. \(n=3,l=0,m=0,s=+\frac12\)
For the homogeneous reaction,
\(4NH_3+5O_2~\rightleftharpoons~4NO+6H_2O\)
The equilibrium constant K, has the units:
1. Conc.+10
2. Conc.+1
3. Conc.-1
4. It is dimensionless
1. NH4Cl
2. AlCl3
3. NaCl
4. Cl2
1. | Decinormal aluminium sulphate |
2. | Decinormal barium chloride |
3. | Decinormal sodium chloride |
4. | A solution obtained by mixing equal volumes of (2) and (3) and filtering |
1. Fe
2. Ag
3. AI
4. Cu
1. C > B > Be > Li
2. C > Be > B > Li
3. B > C > Be > Li
4. Be > Li > B > C
1. Pentaerythritol monostearate
2. Sodium stearyl sulphate
3. Trimethyl stearyl ammonium bromide
4. Ethoxylated nonylphenol
1. | It forms only one type of monosubstituted product |
2. | There are three carbon-carbon single bonds and three carbon-carbon double bonds |
3. | The heat of hydrogenation of benzene is less than its theoretical value |
4. | The bond angle between carbon-carbon bonds is 120° |
1. Methane
2. Carbon dioxide
3. Water
4. Chlorofluorocarbons
1. 7
2. 4
3. 11
4. unpredictable
1. | Hydrogen molecule is non-polar but chlorine molecule is polar |
2. | Hydrogen molecule is polar while chlorine molecule is non-polar |
3. | Hydrogen molecules can form intermolecular hydrogen bonds but chlorine molecule does not |
4. | Hydrogen molecules cannot participate in coordinate bond formation but chlorine molecule can |
1. 1/2
2. 1/3
3. 4/9
4. 27/5
1. Molecular solid
2. Covalent solid
3. Ionic solid
4. Metallic solid
1. | Cutting of DNA into fragments |
2. | Separation of DNA fragments according to their size |
3. | Construction of recombinant DNA by joining with cloning vectors |
4. | Isolation of DNA molecule |
1. | Several ribosomes attached to a single mRNA |
2. | Many ribosomes attached to a strand of endoplasmic reticulum |
3. | A ribosome with several sub-units |
4. | Ribosomes attached to each other in a linear arrangement |
1. Neutrophils
2. Basophils
3. Eosinophil
4. Monocytes
1. | Scales on their hind limbs |
2. | Four-chambered heart |
3. | Two special chambers crop and gizzard in their digestive tract |
4. | Eggs with a calcareous shell |
1. Annelida
2. Arthropoda
3. Mollusca
4. Echinodermata
1. ADH
2. FSH
3. LH
4. STH
1. Estrogen
2. Progesterone
3. Luteinizing hormone
4. Human chorionic gonadotropin
1. Protozoa-Mastigophora-Entamoeba
2. Mollusca-Bivalvia-Pinctada
3. Arthropoda-Diplopoda-Scolopendra
4, Chordata-Cyclostomata-Phrynosoma
Urea synthesis occurs in:
1. Amnion
2. Allantois
3. Chorion
4. Yolk sac
1. cheilosis
2. thalassemia
3. beri-beri
4. pernicious anaemia
1. Areolar tissue
2. Dense Connective tissue
3. Fluid connective tissue
4. Reticular connective tissue
1. Cirrhosis
2. Epilepsy
3. Neurosis
4. Psychosis
1. Ostracoderms
2. Cephalochordates
3. Placoderms
4. Cyclostomes
1. Thrner's syndrome
2. Klinefelter's syndrome
3. Super female
4. Down's syndrome
1. Precambrian
2. Cenozoic
3. Palaeozoic
4. Mesozoic
1. Mendel
2. Lamarck
3. Weismann
4. Haeckel
1. Chorion
2. Allantois
3. Yolk sac
4. Amnion
During the propagation of a nerve impulse, the action potential results from the movement of:
1. K+ ions from extracellular fluid to intracellular fluid
2. Na+ ions from intracellular fluid to extracellular fluid
3. K+ ions from intracellular fluid to extracellular fluid
4. Na+ ions from extracellular fluid to intracellular fluid
1. Adaptive radiation
2. Seasonal migration
3. Brood parasitism
4. Connecting links
1. Flavr Savr tomatoes
2. Starlink maize
3. Bt soyabean
4. Golden rice
1. Bradyrhizobium
2. Clostridium
3. Frankia
4. Azorhizobium
1. 2 cells
2. 3 cells
3. 4 cells
4. 5 cells
1. auxin
2. kinetin
3. Colchicine
4. ethylene
1. Escherichia coli
2. Pseudomonas syringae
3. Pseudomonas putida
4. Rhizoctoniasolani
Out of the four alternatives, choose the one which expresses the correct meaning of the given word and mark the appropriate answer in the Answer Sheet.
Felicity:
1. prosperity
2. honesty
3. bliss
4. sorrow
Out of the four alternatives, choose the one which expresses the correct meaning of the given word and mark the appropriate answer in the Answer Sheet.
Irreproachable:
1. remarkable
2. extraordinary
3. faultless
4. immense
Out of the four alternatives, choose the one which expresses the correct meaning of the given word and mark the appropriate answer in the Answer Sheet.
Knave:
1. emperor
2. enchanter
3. soldier
4. scoundrel
Out of the four alternatives, choose the one which expresses the correct meaning of the given word and mark the appropriate answer in the Answer Sheet.
Frontier:
1. edge
2. landmark
3. boundary
4. corner
Out of the four alternatives, choose the one which expresses the correct meaning of the given word and mark the appropriate answer in the Answer Sheet.
Rout:
1. death
2. defeat
3. loss
4. crash
Choose the word opposite meaning to the given word and mark the appropriate answer in the Answer Sheet. Niggardly:
1. hastily
2. lavishly
3. radiant
4. gorgeously
Choose the word opposite meaning to the given word and mark the appropriate answer in the Answer Sheet. Melodious:
1. harmonious
2. tuneless
3. odious
4. mellifluous
Choose the word opposite meaning to the given word and mark the appropriate answer in the Answer Sheet. Advanced:
1. progressed
2. outpaced
3. receded
4. retarded
In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in the Answer Sheet. In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in the Answer Sheet.
1. quadruple
2. quagmire
3. quadrangle
4. quadrant
In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in the Answer Sheet. In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in the Answer Sheet.
1. postar
2. pastor
3. posture
4. pasture
Directions: In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in answer Sheet. In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in answer Sheet.
1. reference
2. preference
3. difference
4. performance
Directions: In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in Answer Sheet. In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in Answer Sheet.
1. agreeably
2. cruelly
3. doubtfully
4. fatally
Directions: Four alternatives are given for the bold words of given idiom/phrase. Choose the alternative which best expresses the meaning of the bold words of given idiom/phrase and mark the appropriate answer in the Answer Sheet. His parents cut him off, without a shilling
1. disinherited him
2. snubbed him
3. gave him only a shilling
4. sent him away with a shilling
Directions: Four alternatives are given for the bold words of given idiom/phrase. Choose the alternative which best expresses the meaning of the bold words of given idiom/phrase and mark the appropriate answer in the Answer Sheet. The carefully worked-out plan fell through because of an unexpected event
1. came out successfully
2. had a steep fall
3. was shattered
4. failed
Directions: Four alternatives are given for the bold words of given idiom/phrase. Choose the alternative which best expresses the meaning of the bold words of given idiom/phrase and mark the appropriate answer in the Answer Sheet. He has too many irons in the fire
1. is engaged in too many enterprises at the same time
2. has several problems
3. has many ideas in his head
4. has a fire burning constantly in his house
Directions: Four alternatives are given for the bold words of given idiom/phrase. Choose the alternative which best expresses the meaning of the bold words of given idiom/phrase and mark the appropriate answer in the Answer Sheet. We wanted to give Rita a surprise party but John let the cat out of the bag
1. spoilt the party with a cat
2. gave her a party himself
3. told her about it unintentionally
4. prevented her from attending it
Directions: Out of the four alternatives, choose the one which can be substituted for given words/sentence and mark the appropriate option in the Answer Sheet. Study of insects is
1. Etymology
2. Entomology
3. Ecology
4. Embryology
Directions: Out of the four alternatives, choose the one which can be substituted for given words/sentence and mark the appropriate option in the Answer Sheet. Careful in the spending of money, time etc.
1. Punctual
2. Economical
3. Miserly
4. Calculative
Directions: Out of the four alternatives, choose the one which can be substituted for given words/sentence and mark the appropriate option in the Answer Sheet. Reproducing or memorizing word for word
1. Verbatim
2. Verbose
3. Verbiage
4. Verbalism
Directions: Out of the four alternatives, choose the one which can be substituted for given words/sentence and mark the appropriate option in the Answer Sheet. That which cannot be captured
1. Untakable
2. Ungrippable
3. Impregnable
4. Slippery
Directions: Out of the four alternatives, choose the one which can be substituted for given words/sentence and mark the appropriate option in the Answer Sheet. One who breaks the law
1. Aggressor
2. Politician
3. Transgressor
4. Pedestrian
Directions: A part of the sentence is given in bold. Below are given alternatives to the bold part at (a), (b) and (c). Which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (d). Mark the appropriate option in the Answer Sheet. The way to solve the racial problem is by
1. because of
2. thanks to
3. on account of
4. No improvement
Directions: A part of the sentence is given in bold. Below are given alternatives to the bold part at (a), (b) and (c). Which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (d). Mark the appropriate option in the Answer Sheet. He may be poor now but he appears to be rich.
1. to seem rich
2. rich to be
3. to have been rich
4. No improvement
Directions: A part of the sentence is given in bold. Below are given alternatives to the bold part at (a), (b) and (c). Which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (d). Mark the appropriate option in the Answer Sheet. The suspected couple was taken away from the airport through a side entrance to the police station for interrogation.
1. whisked
2. rushed
3. guided
4. No improvement
Directions: A part of the sentence is given in bold. Below are given alternatives to the bold part at (a), (b) and (c). Which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (d). Mark the appropriate option in the Answer Sheet. She left the room feeling contrite.
1. sorry for what she had done
2. rather ill
3. extremely irritated
4. No improvement
I think the essence of wisdom is emancipation as far as possible, from the tyranny of the here and now.
P. If anyone could, he would hardly be able to remain alive. |
Q. But it is possible to make a continual approach towards impartiality. |
R. No one can view the world with complete impartiality. |
S. This is, of course, a matter of degree. |
6. It is this approach towards impartiality that constitutes growth in wisdom.
1. QRSP
2. RQPS
3. SRPQ
4. PRSQ
But at the moment I glanced around at the crowd that had followed me.
P. It was immense crowd, two thousand at the least and growing every minute. |
Q. They were watching me as they would watch a conjurer about to perform a trick. |
R. I looked at the sea of yellow faces above the garish clothes-faces all happy and excited over this bit of fun, all certain that the elephant was going to be shot. |
S. It blocked the road for a long distance on either side. |
6. They did not like me, but with the magical rifle in my hands, I was momentarily worth watching.
1. RPQS
2. QSRP
3. SRPQ
4. PSRQ
There are many roads into the world of books, but the way of fiction is probably the most common.
P. Then too the appeal of the story, whether told as a poem, play, history, biography or novel is primitive and strong. |
Q. The reason is plain. |
R. They are to us what epic poetry was to the Greeks and Romans, what the stage was to the Elizabethans. |
5. The novel and the short story come closer to the experience. If the modern reader then any other form of contemporary writing. |
6. Mankind's delight in stories is as timeless and universal as the art of the story teller.
1. QSRP
2. SRPQ
3. RSQP
4. PRSQ
Nehru spent most part of his childhood in studies.
P. He rushed back to India and led an active political life joining hands with Gandhi. |
Q. His studies went on uninterrupted abroad until he received a call from India. |
R. He went to Cambridge to study. |
5. But now and then, he could not help listening to political discussions in his house. |
6. Till the end of his career, he made Gandhi his political master.
1. RSQP
2. SRQP
3. PQRS
4. SRPQ
Venice is a strange and beautiful city in the North of Italy.
P. There are about four hundred old stone bridges joining the Islands of Venice. |
Q. In this city, there are no motor-cars, no horses and no buses. |
R. These small Islands are near one another. |
S. It is not one Island but a hundred and seventeen Islands. |
6. This is because Venice has no streets.
1. PQRS
2. RSPQ
3. SRPQ
4. PSQR
We warned her ......... the danger
1. from
2. about
3. against
4. of
We all laughed ............ the affair
1. over
2. about
3. for
4. on
The chairman, as well as the members ??? to blame for this misfortune.
1. are
2. were
3. is
4. has
The streets are lighted ........... electricity
1. with
2. by
3. on
4. in
Homeopathic treatment, they say, cuts ........ the need for operation and risk from surgery.
1. off
2. out
3. down
4. away
They prefer curving pathways because
1. they are inauspicious
2. they can walk easily
3. they stumble over straight ones
4. good spirits walk in them
Abundance means
1. long life
2. happiness
3. plenty
4. permanent
The Japanese parents plant a sapling at the time of birth of a child because
1. it is auspicious to plant a sapling
2. it is closely associated with the growth of the child
3. it gives longevity to the child
4. it gives happiness to the child
According to the passage the Japanese are
1. superstitious
2. philosophical
3. lovers of nature
4. lovers of numerology
The Japanese pathways tend to be
1. symbolic
2. beautiful
3. curved
4. straight
1. phytoalexins
2. solanine
3. triazine
4. hormones
1. hybridomas
2. Myelomas
3. Lymphocytes
4. Monoclonal cells
1. haploid
2. diploid
3. tetraploid
4. hexaploid
1. Cuscuta
2. Rafflesia
3. Santalum
4. Monotrapa
1. Vessels
2. Tracheid’s
3. Companion cell
4. Sclerenchyma
1. Saffron
2. Cotton fibers
3. Clove
4. Jute
1. Haploid
2. Diploid
3. Triploid
4. Tetraploid
1. porogamy
2. chalazogamy
3. mesogamy
4. apogamy
1. cellulose
2. sporopollenin
3. pectocellulose
4. lignin
1. Purine, sugar and phosphate
2. Purine, pyrimidine and phosphate
3. Purine, pyrimidine, sugar and phosphate
4. Pyrimidine, sugar and phosphate